In this talk we discuss a class of trace functions, similar to those first studied in relation to Monstrous Moonshine, along with some questions surrounding them. We provide the construction of these functions, which arise from intertwining operators associated to a vertex operator algebra (VOA). It is well known in this setting that the trivial intertwining operators give rise to congruence modular forms. In this talk we discuss this statement for more general intertwining operators arising from the minimal model VOA. The necessary information surrounding VOAs and vector-valued modular forms will be reviewed.
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